Catasma

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Interval information
Ratio 140625/140608
Factorization 2-6 × 32 × 56 × 13-3
Monzo [-6 2 6 0 0 -3
Size in cents 0.20929961¢
Name catasma
Color name L3u3y6-3, Latrithuyoyo negative 3rd
FJS name [math]\text{5d}{-3}^{5,5,5,5,5,5}_{13,13,13}[/math]
Special properties reduced
Tenney height (log2 nd) 34.2028
Weil height (log2 max(n, d)) 34.203
Wilson height (sopfr (nd)) 87
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19863 bits
Comma size unnoticeable
S-expression S25 / S26
open this interval in xen-calc

140625/140608, the catasma, is a no-sevens, no-elevens, 13-limit unnoticeable comma measuring about 0.209 cents. It is the difference between the whole tone, 9/8, and three intervals of 26/25, or alternatively between 3/1 and three intervals of 75/52; therefore tempering this comma out splits the perfect twelfth into three equal parts.

Etymology

The name was proposed by Tristan Bay in 2023, as it is the difference between 625/624 and 676/675, two important commas tempered out in cata temperament.